Q: What are the prime factors of the number 9,440,508?

 A: 2, 3, 7, 11, 17, 601

Why are those the prime factors of the number 9,440,508?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 9,440,508

9,440,508
Factor Arrows
24,720,254
Factor Arrows
22,360,127
Factor Arrows
3786,709
Factor Arrows
7112,387
Factor Arrows
1110,217
Factor Arrows
17601

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 11, 17, 601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 11 x 17 x 601 = 9,440,508

This can also be written as 22 x 31 x 71 x 111 x 171 x 6011 = 9,440,508

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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